457057920 has 512 divisors, whose sum is σ = 1797811200. Its totient is φ = 97320960.

The previous prime is 457057907. The next prime is 457057921. The reversal of 457057920 is 29750754.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457057921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6821727 + ... + 6821793.

It is an arithmetic number, because the mean of its divisors is an integer number (3511350).

Almost surely, 2^457057920 is an apocalyptic number.

457057920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457057920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898905600).

457057920 is an abundant number, since it is smaller than the sum of its proper divisors (1340753280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

457057920 is a wasteful number, since it uses less digits than its factorization.

457057920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The square root of 457057920 is about 21378.9129751725. The cubic root of 457057920 is about 770.2950013744.

The spelling of 457057920 in words is "four hundred fifty-seven million, fifty-seven thousand, nine hundred twenty".